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Simplifying 12t(3 + y) = 5(2y + 8) (3 * 12t + y * 12t) = 5(2y + 8) (36t + 12ty) = 5(2y + 8) Reorder the terms: 36t + 12ty = 5(8 + 2y) 36t + 12ty = (8 * 5 + 2y * 5) 36t + 12ty = (40 + 10y) Solving 36t + 12ty = 40 + 10y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Reorder the terms: -40 + 36t + 12ty + -10y = 40 + 10y + -40 + -10y Reorder the terms: -40 + 36t + 12ty + -10y = 40 + -40 + 10y + -10y Combine like terms: 40 + -40 = 0 -40 + 36t + 12ty + -10y = 0 + 10y + -10y -40 + 36t + 12ty + -10y = 10y + -10y Combine like terms: 10y + -10y = 0 -40 + 36t + 12ty + -10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 18t + 6ty + -5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 18t + 6ty + -5y)' equal to zero and attempt to solve: Simplifying -20 + 18t + 6ty + -5y = 0 Solving -20 + 18t + 6ty + -5y = 0 Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 18t + 6ty + 20 + -5y = 0 + 20 Reorder the terms: -20 + 20 + 18t + 6ty + -5y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 18t + 6ty + -5y = 0 + 20 18t + 6ty + -5y = 0 + 20 Combine like terms: 0 + 20 = 20 18t + 6ty + -5y = 20 Add '5y' to each side of the equation. 18t + 6ty + -5y + 5y = 20 + 5y Combine like terms: -5y + 5y = 0 18t + 6ty + 0 = 20 + 5y 18t + 6ty = 20 + 5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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